Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888ba |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-204883107028992 = -1 · 213 · 316 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 3 2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51296,4541568] |
[a1,a2,a3,a4,a6] |
Generators |
[1637:65610:1] |
Generators of the group modulo torsion |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
6.8034204573457 |
L(r)(E,1)/r! |
Ω |
0.56533937901791 |
Real period |
R |
3.0085558824702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3486p1 111552dv1 83664cm1 |
Quadratic twists by: -4 8 -3 |